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課程名稱 |
彈性穩定學
Elastic Stability |
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開課學期 |
107-1 |
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授課對象 |
工學院 機械工程學研究所 |
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授課教師 |
陳振山 |
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課號 |
ME7145 |
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課程識別碼 |
522 M4020 |
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班次 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期四7,8,9(14:20~17:20) |
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上課地點 |
工綜205 |
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備註 |
總人數上限：40人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1071ME7145_2018 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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課程概述 |
(1) Introduction and Fundamental Tools
(2) One- and Two-DOF Models
(3) Buckling of Columns, Statics
(4) Buckling of Columns, Dynamics
(5) Columns Under Nonconservative Loads
(6) Buckling of Frames, rings, and plates
(7) Static and Dynamic Snap-Through of Shallow Arches
(8) Dynamic Instability Under Parametric excitation |
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課程目標 |
介紹 (1)彈性結構之穩定性及挫曲的觀念，(2)各種不同的結構挫曲行為，(3)現有的各種求解臨界參數的方法，(4)應用範例。 |
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課程要求 |
待補 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
待補 |
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參考書目 |
教科書:
G.J. Simitses, An Introduction to the Elastic Stability of Structures, Prentice Hall, Inc., 1976.
In this course we will follow the textbook closely (about 70%). This textbook (250 pages) deals mostly with the stability of conservative systems in the static sense except the last chapter.
參考書：
There are five references which should supplement the textbook well. All of them can be found in the university library. All the subjects which are taken from references will be given the sources in the Outline of Topics.
1. S. P. Timoshenko, and J.M. Gere, Theory of Elastic Stability, McGraw Hill, 1961.
This is an excellent reference in elastic stability theory in the static sense. Like Timoshenko’s other mechanics monographs this book gives comprehensive and insightful coverage of the topics available at the time of writing, including columns, frames, plates, and shells. It will prove handy to own this reference on the shelf.
2. H. Ziegler, Principle of Structural Stability, Blaisdell Publishing Company, 1968.
Ziegler classified the mechanical structures into conservative, gyroscopic, dissipative, and circulatory systems. In this course we discuss the buckling of a twisted column, which is a nonservative problem and the material is taken from Chapter 5 of this small book.
3. J.M.T. Thompson and G.W. Hunt, A General Theory of Elastic Stability, John Wiley & Sons, 1973.Thompson presented a systematic approach toward the nonlinear analysis of conservative systems. Sections 1.1-1.3 are summary on various bifurcation points and limit points.
4. V.V. Bolotin, The Dynamic Stability of Elastic Systems, Holden-Day, Inc., 1964.
In this book Bolotin used Floquet theory to study the dynamic instability theory for structures under periodic loading. This is another typical nonservative system due to instationary loading. In this course we will study the case of a column under pulsating axial load.
5. V.V. Bolotin, Nonconversitive problems of the theory of Elastic Stability, Pergamon Press, 1963.
In this book Bolotin described the instability of some nonconservative systems, including follower loads, flexible shafts rotating at constant speed, and aeroelastic instability. We will introduce briefly all of these interesting topics. |
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評量方式
(僅供參考) |
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